# My favourite IIT-JEE Maths question

Although I'm in Class 12,but I couldn't stop myself from taking a glance at this year's JEE Math's questions. I found this question to be very intriguing and so I thought of sharing it with my Brilliant friends.

For $$a \in R$$ (set of real numbers) , $$a \neq -1$$, $lim_{n \to \infty}\frac{1^a+2^a+ \ldots +n^a}{(n+1)^{a-1}[(na+1)+(na+2)+\ldots+(na+n)]}= \frac{1}{60}$ Then $$a=?$$

Note by Shubham Srivastava
5 years, 5 months ago

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## Comments

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Top Newest

The answers are 7 and $$\frac{-17}{2}$$. The trick here was to first express the limit in form of summation($$\Sigma$$) and then change summation in definite integration($$\int_0^1$$).

- 5 years, 5 months ago

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8888

- 1 year, 1 month ago

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Log questions based on first significant digit

- 1 year, 1 month ago

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Please solve your question

- 1 year, 1 month ago

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Write a comment or ask a question...can you give me the solution

- 3 years, 2 months ago

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i just did trail and error....

- 5 years, 5 months ago

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Determine K so that 2÷3 ,K and 5÷3×k are three consecutive term of an AP

- 10 months ago

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Answer is 7 or -17/2 ....i guess...

- 10 months, 2 weeks ago

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a=7 is only accepted

- 2 years, 8 months ago

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I got two answers....a=7 and a= -7/5, but the answer key gives only one. I got a quadratic equation at the end.

Anybody else got the same result?

- 5 years, 5 months ago

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You got it?

- 5 years, 5 months ago

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how?

- 5 years, 5 months ago

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a=7

- 5 years, 5 months ago

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were there any options given??

- 5 years, 5 months ago

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Yes, its a multiple correct answers question.

- 5 years, 5 months ago

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how to improve maths skill

- 3 years, 11 months ago

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what's JEE?

- 5 years, 5 months ago

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It's the most competitive Engineering Entrance Exam in India.It questions on Physics,Chemistry and Mathematics......

- 5 years, 5 months ago

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joint entrance examinations

- 5 years ago

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they really gave such easy questions this year?JEE has been diluted.

- 5 years, 5 months ago

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Good thing you didn't see the Physics section...

- 5 years, 5 months ago

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I took a look,and I see no reason of deviating from my stand.I didn't see anything much innovative,except for a hydrostatics problem in paper 1,and a couple of matching type questions in paper 2.Even those were not really tough,just needed keeping your head cool.Trust me,JEE has seen much better days.

- 5 years, 5 months ago

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the chemistry questions were tough, but the maths and the physics questions were found very easy to me.

- 5 years, 5 months ago

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